Refer to the cross$-$section shown in FIGURE $2,$ and calculate:

$2\mathrm{.}1$ the position of the centroid

$2\mathrm{.}2$ the second moment of area about the $xx-$axis $($i$.$e$.I_{})$

$2\mathrm{.}3$ the second moment of area about the $YY-$axis $($i$.$e$.I_{yy})$

$2\mathrm{.}4$ the section modulus about the $xx-$axis and $YY-$axis $($i$.$e$.Z_{}$ and $Z_{yy})$

$2\mathrm{.}5$ The least radius of gyration $($i$.$e$.r_{\text{m}\text{i}\text{n}})$